Mutually unbiased projectors and duality between lines and bases in finite quantum systems

Description

Quantum systems with variables in the ring Z(d) are considered, and the concepts of weak mutually unbiased bases and mutually unbiased projectors are discussed. The lines through the origin in the Z(d) x Z(d) phase space, are classified into maximal lines (sets of d points), and sublines (sets of d(i) points where d(i)vertical bar d). The sublines are intersections of maximal lines. It is shown that there exists a duality between the properties of lines (resp., sublines), and the properties of weak mutually unbiased bases (resp., mutually unbiased projectors).

Links & Downloads

1. Shalaby, M. and Vourdas, A. (2013) Mutually unbiased projectors and duality between lines and bases in finite quantum systems. Annals of Physics. 337: 208-220.
2. http://hdl.handle.net/10454/9731
3. https://doi.org/10.1016/j.aop.2013.06.018

Tags

Additional Fields

Identifer	oai:union.ndltd.org:BRADFORD/oai:bradscholars.brad.ac.uk:10454/9731
Date	January 2013
Creators	Shalaby, Mohamed Mahmoud Youssef, Vourdas, Apostolos
Source Sets	Bradford Scholars
Detected Language	English
Type	Journal Article, No full-text in the repository